Roughly speaking, while you do need idempotence for reductions, you do not need it for maps. (Of course, plenty of things don't look quite like reductions or maps--or they look like both at once--and each is unique.)
Roughly speaking, while you do need idempotence for reductions, you do not need it for maps. (Of course, plenty of things don't look quite like reductions or maps--or they look like both at once--and each is unique.)